One end of a copper rod of length 1 m and cross sectional area $4.0 \times 10^{-4} m^2$ is maintained at $100^{\circ}C$ At the other end of the ice is kept at $0^{\circ}C$.Neglecting loss of heat from surrounding the mass of ice melted in half hour is $[ K_{cu}=401 \;w/m k\;and\;L_f =3.35 \times 10^5 \;J/kg]$